Word Problems
Find the value of two numbers if their sum is 12 and their difference is 4.
What is (8,4) ?
By graphing, the solution to the system
y = x
y = -x
What is (0,0) ?
The solution to the system
x + y = 2
y = 3
What is (-1,3) ?
The solution to the system
x + 5y = 12
-x +y = 0
What is (2,2) ?
(4,5) is the solution to the following system?
4x - y = 12
x + 6y = 13
What is, NO ?
Find the value of two numbers if their sum is 548 and their difference is 110.
What is (329,219) ?
By graphing, the solution to the system
y = 3x - 4
y = -3x + 2
What is (1,-1)?
y = x - 4
-2x + y = 18
What is (-22,-26) ?
The solution to the system
-4x - 2y = -12
4x + 8y = -24
What is (6,-6)?
(0,-4) the solution to the system
y = -20x + 1
20x + y = 6
What is No?
You plant a 14in spruce tree that grows 4 inches per year and you plant a 8in hemlock tree that grows 6 inches per year. When will the trees be the same height? What is that height?
What is 3 years the trees will be 26 inches tall?
By graphing, the solution to the system
y = (1/3)x + 2
y = -x - 2
What is (-3,1) ?
The solution to the system
y = 6x - 11
-2x - 3y = -7
What is (2,1) ?
The solution to the system
5x + y = 9
10x - 7y = -18
What is (1,4)?
(-2,1) is a solution to the system
6x - 3y = -15
2x + y = -3
What is Yes?
In a football game, all of the home team’s points are from 7-point touchdowns and 3-point field goals. The team scores six times and their final score is 26 points. Write and solve a system of linear equations to find the numbers of touchdowns and field goals that the home team scores.
What is 2 touchdowns and 4 field goals ?
By graphing, the solution to the system
y = -(3/2)x - 4
y = (1/2)x + 4
What is (-4,2) ?
The solution to the system
-3x + 3y = 4
-x + y = 3
What is no solution?
The solution to the system
6x + 2y =16
2x - y = 2
What is (2,2)?
No solution describes the solution to the following system
y = 3x + 4
y = -x - 4
What is No?
Harold had a summer lemonade stand where he sold small cups of lemonade for $2.00 and large cups for $3.00. If Harold sold a total of 155 cups of lemonade and collected a total of $410, how many cups of each type did he sell?
What is 55 small cups and 100 large cups of lemonade?
By graphing, the solution to the system
y = (5/4)x - 2
y = (5/4)x -1
What is no solution?
The solution to the system
x + 3y = 1
5x + 6y = 14
What is (4,-1) ?
The solution to the system
2x + 8y = 6
-5x - 20y = -15
What is infinite number of solutions?
(-3,-1) is the solution to
y=(4/3)x + 3
(2/3)x + y = -3
What is (-3,-1)?